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Finding the Third Proportional to 142,587 and 225,760.50

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Solution

The third proportional to 142,587 and 225,760.50 is: 357,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,587 : 225,760.50 = 225,760.50 : x
  2. Step 2: Convert to fraction form
    142,587/225,760.50 = 225,760.50/x
  3. Step 3: Cross multiply
    142,587x = 225,760.50 × 225,760.50
  4. Step 4: Simplify right side
    142,587x = 50,967,803,360.25
  5. Step 5: Solve for x
    x = 50,967,803,360.25/142,587
  6. Step 6: Final answer
    x = 357,450.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.